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Finding the Third Proportional to 319,500.39 and 683,882.68

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Solution

The third proportional to 319,500.39 and 683,882.68 is: 1,463,833.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,500.39 : 683,882.68 = 683,882.68 : x
  2. Step 2: Convert to fraction form
    319,500.39/683,882.68 = 683,882.68/x
  3. Step 3: Cross multiply
    319,500.39x = 683,882.68 × 683,882.68
  4. Step 4: Simplify right side
    319,500.39x = 467,695,524,919.39
  5. Step 5: Solve for x
    x = 467,695,524,919.39/319,500.39
  6. Step 6: Final answer
    x = 1,463,833.99

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.